Eur. Phys. J. C (2010) 65: 547-553
https://doi.org/10.1140/epjc/s10052-009-1222-9

Regular Article - Theoretical Physics

Charged Dirac particles’ Hawking radiation via tunneling from the general non-extremal rotating charged black hole of D=5 minimal gauged supergravity

College of Physics Science and Technology, Shenyang Normal University, Shenyang, 110034, People’s Republic of China

^* e-mail: LHL51759@126.com

Received: 14 August 2009
Published online: 8 December 2009

Abstract

Motivated by Kerner and Man’s fermions tunneling method of dimension 4 black holes, in this paper, we further improve the analysis to investigate Hawking radiation of charged Dirac particles with spin 1/2 from general non-extremal rotating charged black holes with two parameters and a non-zero cosmological constant in minimal five-dimensional gauged supergravity. For space-times with different horizon topology and different dimensions, constructing a set of appropriate γ ^μ matrices for general covariant Dirac equation is an important technique for the fermion tunneling method. By introducing a set of appropriate matrices γ ^μ and employing the ansatz for the spin-up spinor field, we successfully recovered the tunneling probability of charged Dirac particles and the expected Hawking temperature of the black hole, which is exactly consistent with that obtained by other methods. Moreover, the fermion tunneling method can be directly applied to the other five-dimensional charged black holes, which strengthens the validity and power of the fermion tunneling method.